Wishart Distribution - Theorem

Theorem

If has a Wishart distribution with m degrees of freedom and variance matrix —write —and is a q × p matrix of rank q, then


{\mathbf C}\mathbf{X}{\mathbf C}^T
\sim
\mathcal{W}_q\left({\mathbf C}{\mathbf V}{\mathbf C}^T,m\right).

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